Radiating Kerr Metric

In the frame of the Kerr-Schild approach, we consider complex structure of the Kerr geometry which is determined by a complex world line of a complex source. The real Kerr geometry is represented as a real slice of this complex structure. The Kerr geometry is generalized to the nonstationary case when the current geometry is determined by a retarded time and is defined by a retarded-time construction via a given complex world line of source. A general exact solution corresponding to arbitrary motion of a spinning source is obtained. The acceleration of the source is accompanied by a lightlike radiation along the principal null congruence. It generalizes to the rotating case the known Kinnersley class of "photon rocket" solutions. PACS number(s): 04

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“…The second term, proportional to ∂ t0 m, describes the loss of mass by radiation corresponding to the Vaidia "shining star" solution [7,22,23].…”

Section: Solution Of the Field Equationsmentioning

confidence: 99%

Complex Kerr geometry and nonstationary Kerr solutions

Burinskii

2003

Phys. Rev. D

122

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“…In the limit of vanishing angular momentum, the Kerr solution reduces to the exterior Schwarzschild solution. There have also been numerous attempts at extending the Kerr metric to allow for dissipation and rotation [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Generating physically realizable stellar structures via embedding

Maurya

Govender

2017

Eur. Phys. J. C

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In this work we present an exact solution of the Einstein-Maxwell field equations describing compact charged objects within the framework of classical general relativity. Our model is constructed by embedding a fourdimensional spherically symmetric static metric into a fivedimensional flat metric. The source term for the matter field is composed of a perfect fluid distribution with charge. We show that our model obeys all the physical requirements and stability conditions necessary for a realistic stellar model. Our theoretical model approximates observations of neutron stars and pulsars to a very good degree of accuracy.

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“…The quasars are high energy sources and therefore their gravitational field cannot be described by the Schwarzschild metric while the Vaidya metric is relevant to the study of such objects. Vaidya and others gave non-static generalizations to the Kerr solution [3]. Bonnor and Vaidya [4] obtained a non-static generalization to the Reissner-Nordström (RN) solution describing the emission of charged null fluid from a spherically symmetric charged radiating body.…”

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confidence: 99%

“…The total power output ( r 0 approaching infinity in (37) ) is −dM/du. Without using any energymomentum pseudotensor, Bonnor and Vaidya [3] obtained the power output for the metric given by them. They got the same result as obtained by us.…”

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confidence: 99%

A radiating dyon solution

Chamorro

Virbhadra

1995

Pramana - J. Phys.

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We give a non-static exact solution of the Einstein-Maxwell equations (with null fluid), which is a non-static magnetic charge generalization to the Bonnor-Vaidya solution and describes the gravitational and electromagnetic fields of a nonrotating massive radiating dyon. In addition, using the energy-momentum pseudotensors of Einstein and Landau and Lifshitz we obtain the energy, momentum, and power output of the radiating dyon and find that both prescriptions give the same result.

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Radiating Kerr Metric

Cited by 36 publications

References 5 publications

Complex Kerr geometry and nonstationary Kerr solutions

Complex Kerr geometry and nonstationary Kerr solutions

Generating physically realizable stellar structures via embedding

A radiating dyon solution

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